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Finding the Fourth Proportional to 5,665.97, 8,493.11 and 4,102.09

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Solution

The fourth proportional to 5,665.97, 8,493.11 and 4,102.09 is: 6,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.97 : 8,493.11 = 4,102.09 : x
  2. Step 2: Convert to fraction form
    5,665.97/8,493.11 = 4,102.09/x
  3. Step 3: Cross multiply
    5,665.97x = 8,493.11 × 4,102.09
  4. Step 4: Simplify right side
    5,665.97x = 34,839,501.60
  5. Step 5: Solve for x
    x = 34,839,501.60/5,665.97
  6. Step 6: Final answer
    x = 6,148.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.